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Finding the Fourth Proportional to 33,777.69, 50,639.18 and 14,071

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Solution

The fourth proportional to 33,777.69, 50,639.18 and 14,071 is: 21,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,777.69 : 50,639.18 = 14,071 : x
  2. Step 2: Convert to fraction form
    33,777.69/50,639.18 = 14,071/x
  3. Step 3: Cross multiply
    33,777.69x = 50,639.18 × 14,071
  4. Step 4: Simplify right side
    33,777.69x = 712,543,901.78
  5. Step 5: Solve for x
    x = 712,543,901.78/33,777.69
  6. Step 6: Final answer
    x = 21,095.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.